Spectral Convexity for Attractive SU(2N) Fermions

Journal Article · Fri May 04 00:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.98.182501· OSTI ID:20951336

Lee, Dean ^[1]

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1. Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202 (United States)

We prove a general theorem on spectral convexity with respect to particle number for 2N degenerate components of fermions. The number of spatial dimensions is arbitrary, and the system may be uniform or constrained by an external potential. We assume only that the interactions are governed by an SU(2N)-invariant two-body potential whose Fourier transform is negative definite. The convexity result implies that the ground state is in a 2N-particle clustering phase. We discuss implications for light nuclei as well as asymmetric nuclear matter in neutron stars.

• OSTI ID: 20951336
• Journal Information: Physical Review Letters, Vol. 98, Issue 18; Other Information: DOI: 10.1103/PhysRevLett.98.182501; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASYMMETRY
FERMIONS
FOURIER TRANSFORMATION
GROUND STATES
LIGHT NUCLEI
NEUTRON STARS
NUCLEAR MATTER
POTENTIALS
SU GROUPS
TWO-BODY PROBLEM